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Question
Find the smallest number which is exactly divisible by all the numbers from 1 to 9
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Solution
To find the smallest number we have to find the LCM (1, 2, 3, 4, 5, 6, 7, 8, 9)
LCM is 2 × 3 × 2 × 5 × 7 × 2 × 3 = 2520
The required number is 2520
| 2 | 1, 2, 3, 4, 5, 6, 7, 8, 9 |
| 3 | 1, 1, 3, 2, 5, 3, 7, 4, 9 |
| 2 | 1, 1, 1, 2, 5, 1, 7, 4, 3 |
| 5 | 1, 1, 1, 1, 5, 1, 7, 2, 3 |
| 7 | 1, 1, 1, 1, 1, 1, 7, 2, 3 |
| 2 | 1, 1, 1, 1, 1, 1, 1, 2, 3 |
| 3 | 1, 1, 1, 1, 1, 1, 1, 1, 3 |
| 1, 1, 1, 1, 1, 1, 1, 1, 1 |
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